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Finding the Third Proportional to 3,612,008.50 and 4,952,980.50

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Solution

The third proportional to 3,612,008.50 and 4,952,980.50 is: 6,791,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612,008.50 : 4,952,980.50 = 4,952,980.50 : x
  2. Step 2: Convert to fraction form
    3,612,008.50/4,952,980.50 = 4,952,980.50/x
  3. Step 3: Cross multiply
    3,612,008.50x = 4,952,980.50 × 4,952,980.50
  4. Step 4: Simplify right side
    3,612,008.50x = 24,532,015,833,380.25
  5. Step 5: Solve for x
    x = 24,532,015,833,380.25/3,612,008.50
  6. Step 6: Final answer
    x = 6,791,793.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.